1.

If the coefficient of x is zero in a quadratic polynomial then prove that the zeroes will be the equal in magnitude and opposite in sign

Answer»

Let the quadratic POLYNOMIAL be
a x^2 + bx + c.

Let the zeros be m and n

Given: b=0

Now,

Sum of the zeros = (-b/a)

i.e m+n = 0 ( since b= 0)

===> either m = -n or n = -m

THEREFORE the zeros are opposite in sign.

I hope this answer helps you


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